To evaluate the limit as x approaches 0 of (cos(x) – 1)/x, we will use L’Hopital’s rule in the following way:
lim as x->0 of (cos(x) – 1)/x
= lim as x->0 of -(sin(x))/1
= 0/1
= 0
Therefore, the limit as x approaches 0 of (cos(x) – 1)/x is equal to 0.
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